Open AccessSpin norm, pencils, and the u-small convex hull
Author(s) -
Chao-Ping Dong
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12798
Subject(s) - convex hull , annotation , algorithm , german , semantics (computer science) , regular polygon , norm (philosophy) , computer science , artificial intelligence , mathematics , geometry , programming language , philosophy , linguistics , epistemology
Let g \mathfrak {g} be any finite-dimensional complex simple Lie algebra. In this paper, we show that the spin norm increases strictly along any pencil once it goes beyond the u-small convex hull of g \mathfrak {g} .